Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8415d |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
246429493509375 = 33 · 55 · 112 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53378,-4672838] |
[a1,a2,a3,a4,a6] |
j |
622929950501217507/9127018278125 |
j-invariant |
L |
0.62874565004415 |
L(r)(E,1)/r! |
Ω |
0.31437282502208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8415g2 42075j2 92565j2 |
Quadratic twists by: -3 5 -11 |